DETERMINATED SIGNALS MATHEMATICAL MODELS ON THE BASIS OF PRIMITIVE FUNCTION SYSTEMS
The article deals with universal systems on the basis of primitive functions for approximating pulse signals of different types and duration and providing simple mathematical formulation as well. Power, polynomial-cosinusoidal, exponential-multinomial, linear fractional, B-spline signal systems and...
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| Format: | Article |
| Language: | Russian |
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MIREA - Russian Technological University
2016-04-01
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| Series: | Российский технологический журнал |
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| Online Access: | https://www.rtj-mirea.ru/jour/article/view/18 |
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| _version_ | 1832543353806258176 |
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| author | V. N. Isakov |
| author_facet | V. N. Isakov |
| author_sort | V. N. Isakov |
| collection | DOAJ |
| description | The article deals with universal systems on the basis of primitive functions for approximating pulse signals of different types and duration and providing simple mathematical formulation as well. Power, polynomial-cosinusoidal, exponential-multinomial, linear fractional, B-spline signal systems and restricted spectrum systems have been presented. The expressions for spectral and correlation characteristics of the signal systems mentioned have been obtained. Based on the analyzed signals models a multifunctional plug-in software module “Signals Library” has been developed. The module interface is designed for module private use (for example, as a computer reference guide) or for the external program application, for example, as a window to provide a signal type and signal parameters setting selection for users. The examples of the results obtained using the programs above mentioned as well as Signals Library module graphical presentation have been represented in the article .A matter of choice of this or that functions system can be determined by specifics of the task to be solved. |
| format | Article |
| id | doaj-art-3a8f35be899b40c4a86728507141b76b |
| institution | Kabale University |
| issn | 2500-316X |
| language | Russian |
| publishDate | 2016-04-01 |
| publisher | MIREA - Russian Technological University |
| record_format | Article |
| series | Российский технологический журнал |
| spelling | doaj-art-3a8f35be899b40c4a86728507141b76b2025-02-03T11:45:55ZrusMIREA - Russian Technological UniversityРоссийский технологический журнал2500-316X2016-04-0142738610.32362/2500-316X-2016-4-2-73-8618DETERMINATED SIGNALS MATHEMATICAL MODELS ON THE BASIS OF PRIMITIVE FUNCTION SYSTEMSV. N. Isakov0Moscow Тechnological University (MIREA)The article deals with universal systems on the basis of primitive functions for approximating pulse signals of different types and duration and providing simple mathematical formulation as well. Power, polynomial-cosinusoidal, exponential-multinomial, linear fractional, B-spline signal systems and restricted spectrum systems have been presented. The expressions for spectral and correlation characteristics of the signal systems mentioned have been obtained. Based on the analyzed signals models a multifunctional plug-in software module “Signals Library” has been developed. The module interface is designed for module private use (for example, as a computer reference guide) or for the external program application, for example, as a window to provide a signal type and signal parameters setting selection for users. The examples of the results obtained using the programs above mentioned as well as Signals Library module graphical presentation have been represented in the article .A matter of choice of this or that functions system can be determined by specifics of the task to be solved.https://www.rtj-mirea.ru/jour/article/view/18approximation of determined signalmathematical model of a signalspectral densityspectral analysis of signalscorrelation functioncorrelation analysis of signals |
| spellingShingle | V. N. Isakov DETERMINATED SIGNALS MATHEMATICAL MODELS ON THE BASIS OF PRIMITIVE FUNCTION SYSTEMS Российский технологический журнал approximation of determined signal mathematical model of a signal spectral density spectral analysis of signals correlation function correlation analysis of signals |
| title | DETERMINATED SIGNALS MATHEMATICAL MODELS ON THE BASIS OF PRIMITIVE FUNCTION SYSTEMS |
| title_full | DETERMINATED SIGNALS MATHEMATICAL MODELS ON THE BASIS OF PRIMITIVE FUNCTION SYSTEMS |
| title_fullStr | DETERMINATED SIGNALS MATHEMATICAL MODELS ON THE BASIS OF PRIMITIVE FUNCTION SYSTEMS |
| title_full_unstemmed | DETERMINATED SIGNALS MATHEMATICAL MODELS ON THE BASIS OF PRIMITIVE FUNCTION SYSTEMS |
| title_short | DETERMINATED SIGNALS MATHEMATICAL MODELS ON THE BASIS OF PRIMITIVE FUNCTION SYSTEMS |
| title_sort | determinated signals mathematical models on the basis of primitive function systems |
| topic | approximation of determined signal mathematical model of a signal spectral density spectral analysis of signals correlation function correlation analysis of signals |
| url | https://www.rtj-mirea.ru/jour/article/view/18 |
| work_keys_str_mv | AT vnisakov determinatedsignalsmathematicalmodelsonthebasisofprimitivefunctionsystems |